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3 years ago

The nth term of a sequence is 2n²-4. What is the 10th term of the sequence?

Mathematics

2 answers:

N76 [4]3 years ago

6 0

Answer:

196

Step-by-step explanation:

To find the 10 th term, substitute n = 10 into the rule, that is

$a_{10}$ = 2(10)² - 4 = 2(100) - 4 = 200 - 4 = 196

oksano4ka [1.4K]3 years ago

6 0

To find the value of the 10th term substitute n with 10 in the rule.

= 2(10)^2 - 4

= 2(100) - 4

= 200 - 4

= 196 (10th term in the sequence)

Best of Luck!

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A grasshopper jumps straight up from the ground with an initial vertical velocity of 8 feet per second. After how many seconds w

vlabodo [156]

Answer:

Problem 1 : After 0.25 s

Problem 2 : The squirrel doesn't reach the ground before the nut

Step-by-step explanation:

Problem 1

This is a standard physics problem

The equation that defines the movement of the grasshopper given the initial velocity, and the acceleration is the following

Distance = Do + Vo*t + 0.5*a*t^2

Where

Do is the initial distance.

(Do = 0, because the grasshopper is on the ground and we choose the reference system there)

Vo is the initial velocity = 8 feet/sec

a is the acceleration that is exerted on the body (in this case a = g = -9.8 m/s^2 = - 32.174 feet per second per second.)

t is the time

We substitute in the equation, and solve for t (time)

Distance = Do + Vo*t + 0.5*a*t^2

(1 foot)= (0)+ (8 feet/s)*t + 0.5*(-32.174 feet/s^2)*t^2

Solving this equation, we get that

t = 0.25 s

Problem 2

This problem is similar to the previous one

We apply the same formula

D = Do + Vo*t + 0.5*a*t^2

But in this case, we are going in the opposite direction, and we have an initial distance.

Do = 27 feet

Vo is the initial velocity of the nut = -6 feet/s

D = 0 (Ground)

We substitute in the equation, and solve for t (time)

(0) = (27) + (-6 feet/s)*t + 0.5*(-32 feet/s^2)*t^2

t = 1.125 s < 2s

The nut reaches ground in 1.125 s, so the squirrel doesn't reach the ground before the nut

4 0

4 years ago

PLZ HELP WILL GIVE BRAINLIEST!!

velikii [3]

I think the two datas have somewhat similar distribution.

5 0

3 years ago

Read 2 more answers

Minnie organizes data in a table to show the net change in the number of people subscribing and unsubscribing to her Website eac

maw [93]

Answer:

4( -1 -11 )+2 (17)

-14

Step-by-step explanation:

This one requires more abstract thinking than you'd expect!

So essentially you want to count up how many -11's there are, -1's and 17's.

There are four -11's and four -1's, and two 17's.

So that means 4 x -11 + 4x-1 + 2x17 = The Total Sum of Subscribers

We can "factor out" a 4 from the -11 and -1.

4( -1 - 11) + 2(17)

So then you'd solve that and get

-14

4 0

3 years ago

FInd the solution for 4(x - 5)=2(x - 10) +2x

crimeas [40]

Hello!

You solve this like an algebraic equation

You first distribute the 4 and 2

4x - 20 = 2x - 20 + 2x

Combine like terms

4x - 20 = 4x - 20

subtract 4x from both sides

-20 = 0x - 20

Add 20 to both sides

0 = 0

This means that there are infinite solutions to the equation.

Hope this helps!

3 0

4 years ago

Read 2 more answers

6. The base of a triangular field is three times its height. If the cost of cultivating the field

dedylja [7]

Answer:

base = 519.62, height = 173.21 m

Step-by-step explanation:

Let the base and height of the triangle be represented by b and h respectively.

Thus,

b = 3h

Area of a triangle = $\frac{1}{2}$ x base x height